Recent advances in a rigorous computation of Poincaré maps
Abstract
We present recent advances in the interval methods for rigorous computation of Poincaré maps. The main focus is on the impact of the choice of the Poincaré section and the coordinate system.
- Publication:
-
Communications in Nonlinear Science and Numerical Simulations
- Pub Date:
- July 2022
- DOI:
- arXiv:
- arXiv:2104.08046
- Bibcode:
- 2022CNSNS.11006366K
- Keywords:
-
- 65G20;
- 37C27;
- Mathematics - Numerical Analysis;
- Mathematics - Dynamical Systems;
- 65G20;
- 37C27
- E-Print:
- 26 pages, 6 tables, 6 figures